62 tone equal temperament

62edo divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for gallium, semivalentine and hemimeantone temperaments.

Using the 35\62 generator, which leads to the <62 97 143 173| val, 62edo is also an excellent tuning for septimal mavila temperament; alternatively <62 97 143 172| supports hornbostel.

62-EDO Intervals

ARMODUE NOMENCLATURE 8;3 RELATION

Ɨ = Thick (1/8-tone up) ‡ = Semisharp (1/4-tone up) b = Flat (5/8-tone down) ◊ = Node (sharp/flat blindspot 1/2-tone) # = Sharp (5/8-tone up) v = Semiflat (1/4-tone down) ⌐ = Thin (1/8-tone down)

Degree	Size (Cents)	Armodue notation	Approximate intervals
0	0.0000	1
1	19.3548	1Ɨ
2	38.7097	1‡ (9#)
3	58.0645	2b
4	77.4194	1◊2
5	96.7742	1#
6	116.1290	2v
7	135.4839	2⌐
8	154.8387	2
9	174.1935	2Ɨ
10	193.5484	2‡
11	212.9032	3b	·
12	232.2581	2◊3
13	251.6129	2#
14	270.9677	3v
15	290.3226	3⌐
16	309.6774	3
17	329.0323	3Ɨ
18	348.3871	3‡
19	367.7419	4b	·
20	387.0968	3◊4
21	406.4516	3#
22	425.8065	4v (5b)
23	445.1613	4⌐
24	464.5161	4
25	483.8710	4Ɨ (5v)
26	503.2258	5⌐ (4‡)
27	522.5806	5	·
28	541.9355	5Ɨ
29	561.2903	5‡ (4#)
30	580.6452	6b
31	600.0000	5◊6
32	619.3548	5#
33	638.7097	6v
34	658.0645	6⌐
35	677.4194	6	·
36	696.7742	6Ɨ
37	716.1290	6‡
38	735.4839	7b
39	754.8387	6◊7
40	774.1935	6#
41	793.5484	7v
42	812.9032	7⌐
43	832.2581	7	·
44	851.6129	7Ɨ
45	870.9677	7‡
46	890.3226	8b
47	909.6774	7◊8
48	929.0323	7#
49	948.3871	8v
50	967.7419	8⌐
51	987.0968	8	·
52	1006.4516	8Ɨ
53	1025.8065	8‡
54	1045.1613	9b
55	1064.5161	8◊9
56	1083.8710	8#
57	1103.2258	9v (1b)
58	1122.5806	9⌐
59	1141.9355	9
60	1161.2903	9Ɨ (1v)
61	1180.6452	1⌐ (9‡)
62	1200.0000	1